Explaining and Predicting Patterns in Stochastic Population Systems

Shandelle M. Henson; Aaron A. King; R. F. Costantino; J. M. Cushing; Brian Dennis; Robert A. Desharnais

doi:10.1098/rspb.2003.2420

Explaining and Predicting Patterns in Stochastic Population Systems

Shandelle M. Henson, Aaron A. King, R. F. Costantino, J. M. Cushing, Brian Dennis, Robert A. Desharnais

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Lattice effects in ecological time–series are patterns that arise because of the inherent discreteness of animal numbers. In this paper, we suggest a systematic approach for predicting lattice effects. We also show that an explanation of all the patterns in a population time–series may require more than one deterministic model, especially when the dynamics are complex.

Original language	American English
Pages (from-to)	1549-1553
Journal	Proceedings of the Royal Society B: Biological Sciences
Volume	270
DOIs	https://doi.org/10.1098/rspb.2003.2420
State	Published - Aug 7 2003

Keywords

Chaos
Deterministic skeleton
Lattice effects
Population dynamics
Stochasticity

Disciplines

Mathematics

Access to Document

10.1098/rspb.2003.2420License: Unspecified

Cite this

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title = "Explaining and Predicting Patterns in Stochastic Population Systems",

abstract = "Lattice effects in ecological time–series are patterns that arise because of the inherent discreteness of animal numbers. In this paper, we suggest a systematic approach for predicting lattice effects. We also show that an explanation of all the patterns in a population time–series may require more than one deterministic model, especially when the dynamics are complex.",

keywords = "Chaos, Deterministic skeleton, Lattice effects, Population dynamics, Stochasticity",

author = "Henson, {Shandelle M.} and King, {Aaron A.} and Costantino, {R. F.} and Cushing, {J. M.} and Brian Dennis and Desharnais, {Robert A.}",

year = "2003",

month = aug,

day = "7",

doi = "10.1098/rspb.2003.2420",

language = "American English",

volume = "270",

pages = "1549--1553",

journal = "Proceedings of the Royal Society B: Biological Sciences",

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T1 - Explaining and Predicting Patterns in Stochastic Population Systems

AU - Henson, Shandelle M.

AU - King, Aaron A.

AU - Costantino, R. F.

AU - Cushing, J. M.

AU - Dennis, Brian

AU - Desharnais, Robert A.

PY - 2003/8/7

Y1 - 2003/8/7

N2 - Lattice effects in ecological time–series are patterns that arise because of the inherent discreteness of animal numbers. In this paper, we suggest a systematic approach for predicting lattice effects. We also show that an explanation of all the patterns in a population time–series may require more than one deterministic model, especially when the dynamics are complex.

AB - Lattice effects in ecological time–series are patterns that arise because of the inherent discreteness of animal numbers. In this paper, we suggest a systematic approach for predicting lattice effects. We also show that an explanation of all the patterns in a population time–series may require more than one deterministic model, especially when the dynamics are complex.

KW - Chaos

KW - Deterministic skeleton

KW - Lattice effects

KW - Population dynamics

KW - Stochasticity

UR - https://digitalcommons.andrews.edu/pubs/2224

U2 - 10.1098/rspb.2003.2420

DO - 10.1098/rspb.2003.2420

M3 - Article

VL - 270

SP - 1549

EP - 1553

JO - Proceedings of the Royal Society B: Biological Sciences

JF - Proceedings of the Royal Society B: Biological Sciences

ER -

Explaining and Predicting Patterns in Stochastic Population Systems

Abstract

Keywords

Disciplines

Access to Document

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Cite this